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交换环上严格上三角矩阵的广义李三导子

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Indexed by:期刊论文

Date of Publication:2012-03-15

Journal:数学杂志

Included Journals:PKU、ISTIC、CSCD

Volume:32

Issue:2

Page Number:253-262

ISSN No.:0255-7797

Key Words:广义李三导子;广义李导子;严格上三角矩阵;位似

Abstract:本文研究了交换环R上所有n×n严格上三角矩阵构成的李代数N(n,R)(n ≥ 5)上广义李三导子.利用矩阵技巧,证明了N(n,R)(n≥5)上任意广义李三导子为一李三导子与一位似映射的和.对于N(n,R)(n≥3)上广义李导子,得出类似结果.

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